---
_id: '4474'
abstract:
- lang: eng
  text: 'The simulation preorder for labeled transition systems is defined locally,
    and operationally, as a game that relates states with their immediate successor
    states. Simulation enjoys many appealing properties. First, simulation has a denotational
    characterization: system S simulates system I iff every computation tree embedded
    in the unrolling of I can be embedded also in the unrolling of S. Second, simulation
    has a logical characterization: S simulates I iff every universal branching-time
    formula satisfied by S is satisfied also by I. It follows that simulation is a
    suitable notion of implementation, and it is the coarsest abstraction of a system
    that preserves universal branching-time properties. Third, based on its local
    definition, simulation between finite-state systems can be checked in polynomial
    time. Finally, simulation implies trace containment, which cannot be defined locally
    and requires polynomial space for verification. Hence simulation is widely used
    both in manual and in automatic verification. Liveness assumptions about transition
    systems are typically modeled using fairness constraints. Existing notions of
    simulation for fair transition systems, however, are not local, and as a result,
    many appealing properties of the simulation preorder are lost. We propose a new
    view of fair simulation by extending the local definition of simulation to account
    for fairness: system View the MathML sourcefairly simulates system View the MathML
    source iff in the simulation game, there is a strategy that matches with each
    fair computation of View the MathML source a fair computation of View the MathML
    source. Our definition enjoys a denotational characterization and has a logical
    characterization: View the MathML source fairly simulates View the MathML source
    iff every fair computation tree (whose infinite paths are fair) embedded in the
    unrolling of View the MathML source can be embedded also in the unrolling of View
    the MathML source or, equivalently, iff every Fair-∀AFMC formula satisfied by
    View the MathML source is satisfied also by View the MathML source (∀AFMC is the
    universal fragment of the alternation-free μ-calculus). The locality of the definition
    leads us to a polynomial-time algorithm for checking fair simulation for finite-state
    systems with weak and strong fairness constraints. Finally, fair simulation implies
    fair trace containment and is therefore useful as an efficiently computable local
    criterion for proving linear-time abstraction hierarchies of fair systems.'
acknowledgement: We thank Ramin Hojati, Doron Bustan, and the anonymous reviewers
  for their comments on this paper.
article_processing_charge: No
article_type: original
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Orna
  full_name: Kupferman, Orna
  last_name: Kupferman
- first_name: Sriram
  full_name: Rajamani, Sriram
  last_name: Rajamani
citation:
  ama: Henzinger TA, Kupferman O, Rajamani S. Fair simulation. <i>Information and
    Computation</i>. 2002;173(1):64-81. doi:<a href="https://doi.org/10.1006/inco.2001.3085">10.1006/inco.2001.3085</a>
  apa: Henzinger, T. A., Kupferman, O., &#38; Rajamani, S. (2002). Fair simulation.
    <i>Information and Computation</i>. Elsevier. <a href="https://doi.org/10.1006/inco.2001.3085">https://doi.org/10.1006/inco.2001.3085</a>
  chicago: Henzinger, Thomas A, Orna Kupferman, and Sriram Rajamani. “Fair Simulation.”
    <i>Information and Computation</i>. Elsevier, 2002. <a href="https://doi.org/10.1006/inco.2001.3085">https://doi.org/10.1006/inco.2001.3085</a>.
  ieee: T. A. Henzinger, O. Kupferman, and S. Rajamani, “Fair simulation,” <i>Information
    and Computation</i>, vol. 173, no. 1. Elsevier, pp. 64–81, 2002.
  ista: Henzinger TA, Kupferman O, Rajamani S. 2002. Fair simulation. Information
    and Computation. 173(1), 64–81.
  mla: Henzinger, Thomas A., et al. “Fair Simulation.” <i>Information and Computation</i>,
    vol. 173, no. 1, Elsevier, 2002, pp. 64–81, doi:<a href="https://doi.org/10.1006/inco.2001.3085">10.1006/inco.2001.3085</a>.
  short: T.A. Henzinger, O. Kupferman, S. Rajamani, Information and Computation 173
    (2002) 64–81.
date_created: 2018-12-11T12:09:02Z
date_published: 2002-02-25T00:00:00Z
date_updated: 2023-06-05T07:53:27Z
day: '25'
doi: 10.1006/inco.2001.3085
extern: '1'
intvolume: '       173'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/S0890540101930858?via%3Dihub
month: '02'
oa: 1
oa_version: Published Version
page: 64 - 81
publication: Information and Computation
publication_identifier:
  issn:
  - 0890-5401
publication_status: published
publisher: Elsevier
publist_id: '255'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fair simulation
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 173
year: '2002'
...
---
_id: '4476'
abstract:
- lang: eng
  text: 'One approach to model checking software is based on the abstract-check-refine
    paradigm: build an abstract model, then check the desired property, and if the
    check fails, refine the model and start over. We introduce the concept of lazy
    abstraction to integrate and optimize the three phases of the abstract-check-refine
    loop. Lazy abstraction continuously builds and refines a single abstract model
    on demand, driven by the model checker, so that different parts of the model may
    exhibit different degrees of precision, namely just enough to verify the desired
    property. We present an algorithm for model checking safety properties using lazy
    abstraction and describe an implementation of the algorithm applied to C programs.
    We also provide sufficient conditions for the termination of the method.'
acknowledgement: "We thank Wes Weimer and Jeff Foster for many useful discussions.
  \r\n"
article_processing_charge: No
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Ranjit
  full_name: Jhala, Ranjit
  last_name: Jhala
- first_name: Ritankar
  full_name: Majumdar, Ritankar
  last_name: Majumdar
- first_name: Grégoire
  full_name: Sutre, Grégoire
  last_name: Sutre
citation:
  ama: 'Henzinger TA, Jhala R, Majumdar R, Sutre G. Lazy abstraction. In: <i>Proceedings
    of the 29th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages</i>.
    ACM; 2002:58-70. doi:<a href="https://doi.org/10.1145/503272.503279">10.1145/503272.503279</a>'
  apa: 'Henzinger, T. A., Jhala, R., Majumdar, R., &#38; Sutre, G. (2002). Lazy abstraction.
    In <i>Proceedings of the 29th ACM SIGPLAN-SIGACT symposium on Principles of programming
    languages</i> (pp. 58–70). Portland, OR, USA: ACM. <a href="https://doi.org/10.1145/503272.503279">https://doi.org/10.1145/503272.503279</a>'
  chicago: Henzinger, Thomas A, Ranjit Jhala, Ritankar Majumdar, and Grégoire Sutre.
    “Lazy Abstraction.” In <i>Proceedings of the 29th ACM SIGPLAN-SIGACT Symposium
    on Principles of Programming Languages</i>, 58–70. ACM, 2002. <a href="https://doi.org/10.1145/503272.503279">https://doi.org/10.1145/503272.503279</a>.
  ieee: T. A. Henzinger, R. Jhala, R. Majumdar, and G. Sutre, “Lazy abstraction,”
    in <i>Proceedings of the 29th ACM SIGPLAN-SIGACT symposium on Principles of programming
    languages</i>, Portland, OR, USA, 2002, pp. 58–70.
  ista: 'Henzinger TA, Jhala R, Majumdar R, Sutre G. 2002. Lazy abstraction. Proceedings
    of the 29th ACM SIGPLAN-SIGACT symposium on Principles of programming languages.
    POPL: Principles of Programming Languages, 58–70.'
  mla: Henzinger, Thomas A., et al. “Lazy Abstraction.” <i>Proceedings of the 29th
    ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages</i>, ACM,
    2002, pp. 58–70, doi:<a href="https://doi.org/10.1145/503272.503279">10.1145/503272.503279</a>.
  short: T.A. Henzinger, R. Jhala, R. Majumdar, G. Sutre, in:, Proceedings of the
    29th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, ACM,
    2002, pp. 58–70.
conference:
  end_date: 2002-01-18
  location: Portland, OR, USA
  name: 'POPL: Principles of Programming Languages'
  start_date: 2002-01-16
date_created: 2018-12-11T12:09:03Z
date_published: 2002-01-01T00:00:00Z
date_updated: 2023-06-05T07:45:53Z
day: '01'
doi: 10.1145/503272.503279
extern: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 58 - 70
publication: Proceedings of the 29th ACM SIGPLAN-SIGACT symposium on Principles of
  programming languages
publication_identifier:
  isbn:
  - '9781581134506'
publication_status: published
publisher: ACM
publist_id: '254'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Lazy abstraction
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '2002'
...
---
_id: '4562'
abstract:
- lang: eng
  text: We present interface models that describe both the input assumptions of a
    component, and its output behavior. By enabling us to check that the input assumptions
    of a component are met in a design, interface models provide a compatibility check
    for component-based design. When refining a design into an implementation, interface
    models require that the output behavior of a component satisfies the design specification
    only when the input assumptions of the specification are satisfied, yielding greater
    flexibility in the choice of implementations. Technically, our interface models
    are games between two players, Input and Output; the duality of the players accounts
    for the dual roles of inputs and outputs in composition and refinement. We present
    two interface models in detail, one for a simple synchronous form of interaction
    between components typical in hardware, and the other for more complex synchronous
    interactions on bidirectional connections. As an example, we specify the interface
    of a bidirectional bus, with the input assumption that at any time at most one
    component has write access to the bus. For these interface models, we present
    algorithms for compatibility and refinement checking, and we describe efficient
    symbolic implementations.
acknowledgement: This research was supported in part by the AFOSR grant F49620-00-1-0327,
  the DARPA grant F33615-00-C-1693, the MARCO grant 98-DT-660, the NSF grant CCR-9988172,
  the SRC grant 99-TJ-683.003, and the NSF CAREER award CCR-0132780.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Arindam
  full_name: Chakrabarti, Arindam
  last_name: Chakrabarti
- first_name: Luca
  full_name: De Alfaro, Luca
  last_name: De Alfaro
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Freddy
  full_name: Mang, Freddy
  last_name: Mang
citation:
  ama: 'Chakrabarti A, De Alfaro L, Henzinger TA, Mang F. Synchronous and bidirectional
    component interfaces. In: <i>Proceedings of the 14th International Conference
    on Computer Aided Verification</i>. Vol 2404. Springer; 2002:414-427. doi:<a href="https://doi.org/10.1007/3-540-45657-0_34">10.1007/3-540-45657-0_34</a>'
  apa: 'Chakrabarti, A., De Alfaro, L., Henzinger, T. A., &#38; Mang, F. (2002). Synchronous
    and bidirectional component interfaces. In <i>Proceedings of the 14th International
    Conference on Computer Aided Verification</i> (Vol. 2404, pp. 414–427). Copenhagen,
    Denmark: Springer. <a href="https://doi.org/10.1007/3-540-45657-0_34">https://doi.org/10.1007/3-540-45657-0_34</a>'
  chicago: Chakrabarti, Arindam, Luca De Alfaro, Thomas A Henzinger, and Freddy Mang.
    “Synchronous and Bidirectional Component Interfaces.” In <i>Proceedings of the
    14th International Conference on Computer Aided Verification</i>, 2404:414–27.
    Springer, 2002. <a href="https://doi.org/10.1007/3-540-45657-0_34">https://doi.org/10.1007/3-540-45657-0_34</a>.
  ieee: A. Chakrabarti, L. De Alfaro, T. A. Henzinger, and F. Mang, “Synchronous and
    bidirectional component interfaces,” in <i>Proceedings of the 14th International
    Conference on Computer Aided Verification</i>, Copenhagen, Denmark, 2002, vol.
    2404, pp. 414–427.
  ista: 'Chakrabarti A, De Alfaro L, Henzinger TA, Mang F. 2002. Synchronous and bidirectional
    component interfaces. Proceedings of the 14th International Conference on Computer
    Aided Verification. CAV: Computer Aided Verification, LNCS, vol. 2404, 414–427.'
  mla: Chakrabarti, Arindam, et al. “Synchronous and Bidirectional Component Interfaces.”
    <i>Proceedings of the 14th International Conference on Computer Aided Verification</i>,
    vol. 2404, Springer, 2002, pp. 414–27, doi:<a href="https://doi.org/10.1007/3-540-45657-0_34">10.1007/3-540-45657-0_34</a>.
  short: A. Chakrabarti, L. De Alfaro, T.A. Henzinger, F. Mang, in:, Proceedings of
    the 14th International Conference on Computer Aided Verification, Springer, 2002,
    pp. 414–427.
conference:
  end_date: 2002-07-31
  location: Copenhagen, Denmark
  name: 'CAV: Computer Aided Verification'
  start_date: 2002-07-27
date_created: 2018-12-11T12:09:29Z
date_published: 2002-06-19T00:00:00Z
date_updated: 2023-06-02T12:01:22Z
day: '19'
doi: 10.1007/3-540-45657-0_34
extern: '1'
intvolume: '      2404'
language:
- iso: eng
month: '06'
oa_version: None
page: 414 - 427
publication: Proceedings of the 14th International Conference on Computer Aided Verification
publication_identifier:
  isbn:
  - '9783540439974'
publication_status: published
publisher: Springer
publist_id: '146'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Synchronous and bidirectional component interfaces
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 2404
year: '2002'
...
---
_id: '4563'
abstract:
- lang: eng
  text: We present a formal methodology and tool for uncovering errors in the interaction
    of software modules. Our methodology consists of a suite of languages for defining
    software interfaces, and algorithms for checking interface compatibility. We focus
    on interfaces that explain the method-call dependencies between software modules.
    Such an interface makes assumptions about the environment in the form of call
    and availability constraints. A call constraint restricts the accessibility of
    local methods to certain external methods. An availability constraint restricts
    the accessibility of local methods to certain states of the module. For example,
    the interface for a file server with local methods open and read may assert that
    a file cannot be read without having been opened. Checking interface compatibility
    requires the solution of games, and in the presence of availability constraints,
    of pushdown games. Based on this methodology, we have implemented a tool that
    has uncovered incompatibilities in TinyOS, a small operating system for sensor
    nodes in adhoc networks.
acknowledgement: This research was supported in part by the AFOSR grant F49620-00-1-0327,
  the DARPA grant F33615-00-C-1693, the MARCO grant 98-DT-660, the NSF grants CCR-9988172,
  CCR-0085949, CCR-0132780, the SRC grant 99-TJ-683, and the Polish KBN grant 7-T11C-027-20.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Arindam
  full_name: Chakrabarti, Arindam
  last_name: Chakrabarti
- first_name: Luca
  full_name: De Alfaro, Luca
  last_name: De Alfaro
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Marcin
  full_name: Jurdziński, Marcin
  last_name: Jurdziński
- first_name: Freddy
  full_name: Mang, Freddy
  last_name: Mang
citation:
  ama: 'Chakrabarti A, De Alfaro L, Henzinger TA, Jurdziński M, Mang F. Interface
    compatibility checking for software modules. In: <i>Proceedings of the 14th International
    Conference on Computer Aided Verification</i>. Vol 2404. Springer; 2002:428-441.
    doi:<a href="https://doi.org/10.1007/3-540-45657-0_35">10.1007/3-540-45657-0_35</a>'
  apa: 'Chakrabarti, A., De Alfaro, L., Henzinger, T. A., Jurdziński, M., &#38; Mang,
    F. (2002). Interface compatibility checking for software modules. In <i>Proceedings
    of the 14th International Conference on Computer Aided Verification</i> (Vol.
    2404, pp. 428–441). Copenhagen, Denmark: Springer. <a href="https://doi.org/10.1007/3-540-45657-0_35">https://doi.org/10.1007/3-540-45657-0_35</a>'
  chicago: Chakrabarti, Arindam, Luca De Alfaro, Thomas A Henzinger, Marcin Jurdziński,
    and Freddy Mang. “Interface Compatibility Checking for Software Modules.” In <i>Proceedings
    of the 14th International Conference on Computer Aided Verification</i>, 2404:428–41.
    Springer, 2002. <a href="https://doi.org/10.1007/3-540-45657-0_35">https://doi.org/10.1007/3-540-45657-0_35</a>.
  ieee: A. Chakrabarti, L. De Alfaro, T. A. Henzinger, M. Jurdziński, and F. Mang,
    “Interface compatibility checking for software modules,” in <i>Proceedings of
    the 14th International Conference on Computer Aided Verification</i>, Copenhagen,
    Denmark, 2002, vol. 2404, pp. 428–441.
  ista: 'Chakrabarti A, De Alfaro L, Henzinger TA, Jurdziński M, Mang F. 2002. Interface
    compatibility checking for software modules. Proceedings of the 14th International
    Conference on Computer Aided Verification. CAV: Computer Aided Verification, LNCS,
    vol. 2404, 428–441.'
  mla: Chakrabarti, Arindam, et al. “Interface Compatibility Checking for Software
    Modules.” <i>Proceedings of the 14th International Conference on Computer Aided
    Verification</i>, vol. 2404, Springer, 2002, pp. 428–41, doi:<a href="https://doi.org/10.1007/3-540-45657-0_35">10.1007/3-540-45657-0_35</a>.
  short: A. Chakrabarti, L. De Alfaro, T.A. Henzinger, M. Jurdziński, F. Mang, in:,
    Proceedings of the 14th International Conference on Computer Aided Verification,
    Springer, 2002, pp. 428–441.
conference:
  end_date: 2002-07-31
  location: Copenhagen, Denmark
  name: 'CAV: Computer Aided Verification'
  start_date: 2002-07-27
date_created: 2018-12-11T12:09:30Z
date_published: 2002-06-19T00:00:00Z
date_updated: 2023-06-05T07:38:10Z
day: '19'
doi: 10.1007/3-540-45657-0_35
extern: '1'
intvolume: '      2404'
language:
- iso: eng
month: '06'
oa_version: None
page: 428 - 441
publication: Proceedings of the 14th International Conference on Computer Aided Verification
publication_identifier:
  isbn:
  - ' 9783540439974'
publication_status: published
publisher: Springer
publist_id: '147'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Interface compatibility checking for software modules
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 2404
year: '2002'
...
---
_id: '4565'
abstract:
- lang: eng
  text: "In the literature, we find several formulations of the control\r\nproblem
    for timed and hybrid systems. We argue that formulations where\r\na controller
    can cause an action at any point in dense (rational or real)\r\ntime are problematic,
    by presenting an example where the controller\r\nmust act faster and faster, yet
    causes no Zeno effects (say, the control\r\nactions are at times 0, 1/2, 1, 1
    1/4, 2, 2 1/8, 3, 3 1/16 ,...). Such a controller is,\r\nof course, not implementable
    in software. Such controllers are avoided by formulations where the controller
    can cause actions only at discrete (integer) points in time. While the resulting
    control problem is well- understood if the time unit, or “sampling rate” of the
    controller, is fixed a priori, we define a novel, stronger formulation: the discrete-time
    control problem with unknown sampling rate asks if a sampling controller exists
    for some sampling rate. We prove that this problem is undecidable even in the
    special case of timed automata."
acknowledgement: "Partially supported by the FNRS, Belgium, under grant 1.5.096.01.\r\nPartially
  supported by the DARPA SEC grant F33615-C-98-3614, the AFOSR MURI grant F49620-00-1-0327,
  the NSF Theory grant CCR-9988172, and the MARCO GSRC grant 98-DT-660.\r\nPartially
  supported by a “Crédit aux chercheurs” from the Belgian National Fund for Scientific
  Research."
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Franck
  full_name: Cassez, Franck
  last_name: Cassez
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Jean
  full_name: Raskin, Jean
  last_name: Raskin
citation:
  ama: 'Cassez F, Henzinger TA, Raskin J. A comparison of control problems for timed
    and hybrid systems. In: <i>Proceedings of the 5th International Workshop on Hybrid
    Systems: Computation and Control</i>. Vol 2289. Springer; 2002:134-148. doi:<a
    href="https://doi.org/10.1007/3-540-45873-5_13">10.1007/3-540-45873-5_13</a>'
  apa: 'Cassez, F., Henzinger, T. A., &#38; Raskin, J. (2002). A comparison of control
    problems for timed and hybrid systems. In <i>Proceedings of the 5th International
    Workshop on Hybrid Systems: Computation and Control</i> (Vol. 2289, pp. 134–148).
    Stanford, CA, USA: Springer. <a href="https://doi.org/10.1007/3-540-45873-5_13">https://doi.org/10.1007/3-540-45873-5_13</a>'
  chicago: 'Cassez, Franck, Thomas A Henzinger, and Jean Raskin. “A Comparison of
    Control Problems for Timed and Hybrid Systems.” In <i>Proceedings of the 5th International
    Workshop on Hybrid Systems: Computation and Control</i>, 2289:134–48. Springer,
    2002. <a href="https://doi.org/10.1007/3-540-45873-5_13">https://doi.org/10.1007/3-540-45873-5_13</a>.'
  ieee: 'F. Cassez, T. A. Henzinger, and J. Raskin, “A comparison of control problems
    for timed and hybrid systems,” in <i>Proceedings of the 5th International Workshop
    on Hybrid Systems: Computation and Control</i>, Stanford, CA, USA, 2002, vol.
    2289, pp. 134–148.'
  ista: 'Cassez F, Henzinger TA, Raskin J. 2002. A comparison of control problems
    for timed and hybrid systems. Proceedings of the 5th International Workshop on
    Hybrid Systems: Computation and Control. HSCC: Hybrid Systems - Computation and
    Control, LNCS, vol. 2289, 134–148.'
  mla: 'Cassez, Franck, et al. “A Comparison of Control Problems for Timed and Hybrid
    Systems.” <i>Proceedings of the 5th International Workshop on Hybrid Systems:
    Computation and Control</i>, vol. 2289, Springer, 2002, pp. 134–48, doi:<a href="https://doi.org/10.1007/3-540-45873-5_13">10.1007/3-540-45873-5_13</a>.'
  short: 'F. Cassez, T.A. Henzinger, J. Raskin, in:, Proceedings of the 5th International
    Workshop on Hybrid Systems: Computation and Control, Springer, 2002, pp. 134–148.'
conference:
  end_date: 2002-03-27
  location: Stanford, CA, USA
  name: 'HSCC: Hybrid Systems - Computation and Control'
  start_date: 2002-03-25
date_created: 2018-12-11T12:09:30Z
date_published: 2002-03-14T00:00:00Z
date_updated: 2023-06-02T10:29:10Z
day: '14'
doi: 10.1007/3-540-45873-5_13
extern: '1'
intvolume: '      2289'
language:
- iso: eng
month: '03'
oa_version: None
page: 134 - 148
publication: 'Proceedings of the 5th International Workshop on Hybrid Systems: Computation
  and Control'
publication_identifier:
  isbn:
  - '9783540433217'
publication_status: published
publisher: Springer
publist_id: '144'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A comparison of control problems for timed and hybrid systems
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 2289
year: '2002'
...
---
_id: '4595'
abstract:
- lang: eng
  text: 'Temporal logic comes in two varieties: linear-time temporal logic assumes
    implicit universal quantification over all paths that are generated by the execution
    of a system; branching-time temporal logic allows explicit existential and universal
    quantification over all paths. We introduce a third, more general variety of temporal
    logic: alternating-time temporal logic offers selective quantification over those
    paths that are possible outcomes of games, such as the game in which the system
    and the environment alternate moves. While linear-time and branching-time logics
    are natural specification languages for closed systems, alternating-time logics
    are natural specification languages for open systems. For example, by preceding
    the temporal operator &quot;eventually&quot; with a selective path quantifier,
    we can specify that in the game between the system and the environment, the system
    has a strategy to reach a certain state. The problems of receptiveness, realizability,
    and controllability can be formulated as model-checking problems for alternating-time
    formulas. Depending on whether or not we admit arbitrary nesting of selective
    path quantifiers and temporal operators, we obtain the two alternating-time temporal
    logics ATL and ATL*.ATL and ATL* are interpreted over concurrent game structures.
    Every state transition of a concurrent game structure results from a choice of
    moves, one for each player. The players represent individual components and the
    environment of an open system. Concurrent game structures can capture various
    forms of synchronous composition for open systems, and if augmented with fairness
    constraints, also asynchronous composition. Over structures without fairness constraints,
    the model-checking complexity of ATL is linear in the size of the game structure
    and length of the formula, and the symbolic model-checking algorithm for CTL extends
    with few modifications to ATL. Over structures with weak-fairness constraints,
    ATL model checking requires the solution of 1-pair Rabin games, and can be done
    in polynomial time. Over structures with strong-fairness constraints, ATL model
    checking requires the solution of games with Boolean combinations of Büchi conditions,
    and can be done in PSPACE. In the case of ATL*, the model-checking problem is
    closely related to the synthesis problem for linear-time formulas, and requires
    doubly exponential time.'
acknowledgement: We thank Luca de Alfaro, Kousha Etessami, Salvatore La Torre, P.
  Madhusudan, Amir Pnueli, Moshe Vardi, Thomas Wilke, and Mihalis Yannakakis for helpful
  discussions. We also thank Freddy Mang for comments on a draft of this manuscript.
article_processing_charge: No
article_type: original
author:
- first_name: Rajeev
  full_name: Alur, Rajeev
  last_name: Alur
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Orna
  full_name: Kupferman, Orna
  last_name: Kupferman
citation:
  ama: Alur R, Henzinger TA, Kupferman O. Alternating-time temporal logic. <i>Journal
    of the ACM</i>. 2002;49(5):672-713. doi:<a href="https://doi.org/10.1145/585265.585270">10.1145/585265.585270</a>
  apa: Alur, R., Henzinger, T. A., &#38; Kupferman, O. (2002). Alternating-time temporal
    logic. <i>Journal of the ACM</i>. ACM. <a href="https://doi.org/10.1145/585265.585270">https://doi.org/10.1145/585265.585270</a>
  chicago: Alur, Rajeev, Thomas A Henzinger, and Orna Kupferman. “Alternating-Time
    Temporal Logic.” <i>Journal of the ACM</i>. ACM, 2002. <a href="https://doi.org/10.1145/585265.585270">https://doi.org/10.1145/585265.585270</a>.
  ieee: R. Alur, T. A. Henzinger, and O. Kupferman, “Alternating-time temporal logic,”
    <i>Journal of the ACM</i>, vol. 49, no. 5. ACM, pp. 672–713, 2002.
  ista: Alur R, Henzinger TA, Kupferman O. 2002. Alternating-time temporal logic.
    Journal of the ACM. 49(5), 672–713.
  mla: Alur, Rajeev, et al. “Alternating-Time Temporal Logic.” <i>Journal of the ACM</i>,
    vol. 49, no. 5, ACM, 2002, pp. 672–713, doi:<a href="https://doi.org/10.1145/585265.585270">10.1145/585265.585270</a>.
  short: R. Alur, T.A. Henzinger, O. Kupferman, Journal of the ACM 49 (2002) 672–713.
date_created: 2018-12-11T12:09:40Z
date_published: 2002-09-01T00:00:00Z
date_updated: 2023-06-02T10:07:22Z
day: '01'
doi: 10.1145/585265.585270
extern: '1'
intvolume: '        49'
issue: '5'
language:
- iso: eng
month: '09'
oa_version: None
page: 672 - 713
publication: Journal of the ACM
publication_identifier:
  issn:
  - 0004-5411
publication_status: published
publisher: ACM
publist_id: '110'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Alternating-time temporal logic
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 49
year: '2002'
...
---
_id: '4631'
abstract:
- lang: eng
  text: We present a theory of timed interfaces, which is capable of specifying both
    the timing of the inputs a component expects from the environment, and the timing
    of the outputs it can produce. Two timed interfaces are compatible if there is
    a way to use them together such that their timing expectations are met. Our theory
    provides algorithms for checking the compatibility between two interfaces and
    for deriving the composite interface; the theory can thus be viewed as a type
    system for real-time interaction. Technically, a timed interface is encoded as
    a timed game between two players, representing the inputs and outputs of the component.
    The algorithms for compatibility checking and interface composition are thus derived
    from algorithms for solving timed games.
acknowledgement: This research was supported in part by the NSF CAREER award CCR-0132780,
  the NSF grant CCR-9988172 the AFOSR MURI grant F49620-00-1-0327, the DARPA PCES
  grant F33615-00-C-1693, the MARCO GSRC grant 98-DT-660, and the ONR grant N00014-02-1-0671.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Luca
  full_name: De Alfaro, Luca
  last_name: De Alfaro
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Mariëlle
  full_name: Stoelinga, Mariëlle
  last_name: Stoelinga
citation:
  ama: 'De Alfaro L, Henzinger TA, Stoelinga M. Timed interfaces. In: <i>Proceedings
    of the 2nd International Conference on Embedded Software</i>. Vol 2491. ACM; 2002:108-122.
    doi:<a href="https://doi.org/10.1007/3-540-45828-X_9">10.1007/3-540-45828-X_9</a>'
  apa: 'De Alfaro, L., Henzinger, T. A., &#38; Stoelinga, M. (2002). Timed interfaces.
    In <i>Proceedings of the 2nd International Conference on Embedded Software</i>
    (Vol. 2491, pp. 108–122). Grenoble, France: ACM. <a href="https://doi.org/10.1007/3-540-45828-X_9">https://doi.org/10.1007/3-540-45828-X_9</a>'
  chicago: De Alfaro, Luca, Thomas A Henzinger, and Mariëlle Stoelinga. “Timed Interfaces.”
    In <i>Proceedings of the 2nd International Conference on Embedded Software</i>,
    2491:108–22. ACM, 2002. <a href="https://doi.org/10.1007/3-540-45828-X_9">https://doi.org/10.1007/3-540-45828-X_9</a>.
  ieee: L. De Alfaro, T. A. Henzinger, and M. Stoelinga, “Timed interfaces,” in <i>Proceedings
    of the 2nd International Conference on Embedded Software</i>, Grenoble, France,
    2002, vol. 2491, pp. 108–122.
  ista: 'De Alfaro L, Henzinger TA, Stoelinga M. 2002. Timed interfaces. Proceedings
    of the 2nd International Conference on Embedded Software. EMSOFT: Embedded Software
    , LNCS, vol. 2491, 108–122.'
  mla: De Alfaro, Luca, et al. “Timed Interfaces.” <i>Proceedings of the 2nd International
    Conference on Embedded Software</i>, vol. 2491, ACM, 2002, pp. 108–22, doi:<a
    href="https://doi.org/10.1007/3-540-45828-X_9">10.1007/3-540-45828-X_9</a>.
  short: L. De Alfaro, T.A. Henzinger, M. Stoelinga, in:, Proceedings of the 2nd International
    Conference on Embedded Software, ACM, 2002, pp. 108–122.
conference:
  end_date: 2002-10-09
  location: Grenoble, France
  name: 'EMSOFT: Embedded Software '
  start_date: 2002-10-07
date_created: 2018-12-11T12:09:51Z
date_published: 2002-10-24T00:00:00Z
date_updated: 2023-06-02T10:00:32Z
day: '24'
doi: 10.1007/3-540-45828-X_9
extern: '1'
intvolume: '      2491'
language:
- iso: eng
month: '10'
oa_version: None
page: 108 - 122
publication: Proceedings of the 2nd International Conference on Embedded Software
publication_identifier:
  isbn:
  - '9783540443070'
publication_status: published
publisher: ACM
publist_id: '76'
quality_controlled: '1'
status: public
title: Timed interfaces
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 2491
year: '2002'
...
---
_id: '841'
article_processing_charge: No
article_type: original
author:
- first_name: Yuri
  full_name: Wolf, Yuri
  last_name: Wolf
- first_name: Fyodor
  full_name: Kondrashov, Fyodor
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Eugene
  full_name: Koonin, Eugene
  last_name: Koonin
citation:
  ama: 'Wolf Y, Kondrashov F, Koonin E. Footprints of primordial introns on the eukaryotic
    genome: still no clear traces . <i>Trends in Genetics</i>. 2001;17(9):499-501.
    doi:<a href="https://doi.org/10.1016/S0168-9525(01)02376-9">10.1016/S0168-9525(01)02376-9</a>'
  apa: 'Wolf, Y., Kondrashov, F., &#38; Koonin, E. (2001). Footprints of primordial
    introns on the eukaryotic genome: still no clear traces . <i>Trends in Genetics</i>.
    Elsevier. <a href="https://doi.org/10.1016/S0168-9525(01)02376-9">https://doi.org/10.1016/S0168-9525(01)02376-9</a>'
  chicago: 'Wolf, Yuri, Fyodor Kondrashov, and Eugene Koonin. “Footprints of Primordial
    Introns on the Eukaryotic Genome: Still No Clear Traces .” <i>Trends in Genetics</i>.
    Elsevier, 2001. <a href="https://doi.org/10.1016/S0168-9525(01)02376-9">https://doi.org/10.1016/S0168-9525(01)02376-9</a>.'
  ieee: 'Y. Wolf, F. Kondrashov, and E. Koonin, “Footprints of primordial introns
    on the eukaryotic genome: still no clear traces ,” <i>Trends in Genetics</i>,
    vol. 17, no. 9. Elsevier, pp. 499–501, 2001.'
  ista: 'Wolf Y, Kondrashov F, Koonin E. 2001. Footprints of primordial introns on
    the eukaryotic genome: still no clear traces . Trends in Genetics. 17(9), 499–501.'
  mla: 'Wolf, Yuri, et al. “Footprints of Primordial Introns on the Eukaryotic Genome:
    Still No Clear Traces .” <i>Trends in Genetics</i>, vol. 17, no. 9, Elsevier,
    2001, pp. 499–501, doi:<a href="https://doi.org/10.1016/S0168-9525(01)02376-9">10.1016/S0168-9525(01)02376-9</a>.'
  short: Y. Wolf, F. Kondrashov, E. Koonin, Trends in Genetics 17 (2001) 499–501.
date_created: 2018-12-11T11:48:47Z
date_published: 2001-09-01T00:00:00Z
date_updated: 2023-06-02T09:38:37Z
day: '01'
doi: 10.1016/S0168-9525(01)02376-9
extern: '1'
external_id:
  pmid:
  - '11721681'
intvolume: '        17'
issue: '9'
language:
- iso: eng
month: '09'
oa_version: None
page: 499 - 501
pmid: 1
publication: Trends in Genetics
publication_identifier:
  issn:
  - 0168-9479
publication_status: published
publisher: Elsevier
publist_id: '6805'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Footprints of primordial introns on the eukaryotic genome: still no clear
  traces '
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 17
year: '2001'
...
---
_id: '851'
abstract:
- lang: eng
  text: 'The study and comparison of mutation(al) spectra is an important problem
    in molecular biology, because these spectra often reflect on important features
    of mutations and their fixation. Such features include the interaction of DNA
    with various mutagens, the function of repair/replication enzymes, and properties
    of target proteins. It is known that mutability varies significantly along nucleotide
    sequences, such that mutations often concentrate at certain positions, called
    &quot;hotspots,&quot; in a sequence. In this paper, we discuss in detail two approaches
    for mutation spectra analysis: the comparison of mutation spectra with a HG-PUBL
    program, (FTP: sunsite.unc.edu/pub/academic/ biology/dna-mutations/hyperg) and
    hotspot prediction with the CLUSTERM program (www.itba.mi.cnr.it/webmutation;
    ftp.bionet.nsc.ru/pub/biology/dbms/clusterm.zip). Several other approaches for
    mutational spectra analysis, such as the analysis of a target protein structure,
    hotspot context revealing, multiple spectra comparisons, as well as a number of
    mutation databases are briefly described. Mutation spectra in the lacI gene of
    E. coli and the human p53 gene are used for illustration of various difficulties
    of such analysis.'
acknowledgement: 'Russian Fund of Fundamental Research. Grant Number: 99-04-49535.
  NIH. Grant Number: GM 20293. NASA. Grant Number: NCC2-1057'
article_processing_charge: No
article_type: original
author:
- first_name: Igor
  full_name: Rogozin, Igor
  last_name: Rogozin
- first_name: Fyodor
  full_name: Kondrashov, Fyodor
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Galina
  full_name: Glazko, Galina
  last_name: Glazko
citation:
  ama: Rogozin I, Kondrashov F, Glazko G. Use of mutation spectra analysis software.
    <i>Human Mutation</i>. 2001;17(2):83-102. doi:<a href="https://doi.org/10.1002/1098-1004(200102)17:2&#38;lt;83::AID-HUMU1&#38;gt;3.0.CO;2-E">10.1002/1098-1004(200102)17:2&#38;lt;83::AID-HUMU1&#38;gt;3.0.CO;2-E</a>
  apa: Rogozin, I., Kondrashov, F., &#38; Glazko, G. (2001). Use of mutation spectra
    analysis software. <i>Human Mutation</i>. Wiley-Blackwell. <a href="https://doi.org/10.1002/1098-1004(200102)17:2&#38;lt;83::AID-HUMU1&#38;gt;3.0.CO;2-E">https://doi.org/10.1002/1098-1004(200102)17:2&#38;lt;83::AID-HUMU1&#38;gt;3.0.CO;2-E</a>
  chicago: Rogozin, Igor, Fyodor Kondrashov, and Galina Glazko. “Use of Mutation Spectra
    Analysis Software.” <i>Human Mutation</i>. Wiley-Blackwell, 2001. <a href="https://doi.org/10.1002/1098-1004(200102)17:2&#38;lt;83::AID-HUMU1&#38;gt;3.0.CO;2-E">https://doi.org/10.1002/1098-1004(200102)17:2&#38;lt;83::AID-HUMU1&#38;gt;3.0.CO;2-E</a>.
  ieee: I. Rogozin, F. Kondrashov, and G. Glazko, “Use of mutation spectra analysis
    software,” <i>Human Mutation</i>, vol. 17, no. 2. Wiley-Blackwell, pp. 83–102,
    2001.
  ista: Rogozin I, Kondrashov F, Glazko G. 2001. Use of mutation spectra analysis
    software. Human Mutation. 17(2), 83–102.
  mla: Rogozin, Igor, et al. “Use of Mutation Spectra Analysis Software.” <i>Human
    Mutation</i>, vol. 17, no. 2, Wiley-Blackwell, 2001, pp. 83–102, doi:<a href="https://doi.org/10.1002/1098-1004(200102)17:2&#38;lt;83::AID-HUMU1&#38;gt;3.0.CO;2-E">10.1002/1098-1004(200102)17:2&#38;lt;83::AID-HUMU1&#38;gt;3.0.CO;2-E</a>.
  short: I. Rogozin, F. Kondrashov, G. Glazko, Human Mutation 17 (2001) 83–102.
date_created: 2018-12-11T11:48:50Z
date_published: 2001-01-01T00:00:00Z
date_updated: 2023-06-02T09:22:17Z
day: '01'
doi: 10.1002/1098-1004(200102)17:2&lt;83::AID-HUMU1&gt;3.0.CO;2-E
extern: '1'
external_id:
  pmid:
  - '11180592'
intvolume: '        17'
issue: '2'
language:
- iso: eng
month: '01'
oa_version: None
page: 83 - 102
pmid: 1
publication: Human Mutation
publication_identifier:
  issn:
  - 1059-7794
publication_status: published
publisher: Wiley-Blackwell
publist_id: '6796'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Use of mutation spectra analysis software
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 17
year: '2001'
...
---
_id: '8521'
abstract:
- lang: eng
  text: We continue the previous article's discussion of bounds, for prevalent diffeomorphisms
    of smooth compact manifolds, on the growth of the number of periodic points and
    the decay of their hyperbolicity as a function of their period $n$. In that article
    we reduced the main results to a problem, for certain families of diffeomorphisms,
    of bounding the measure of parameter values for which the diffeomorphism has (for
    a given period $n$) an almost periodic point that is almost nonhyperbolic. We
    also formulated our results for $1$-dimensional endomorphisms on a compact interval.
    In this article we describe some of the main techniques involved and outline the
    rest of the proof. To simplify notation, we concentrate primarily on the $1$-dimensional
    case.
article_processing_charge: No
article_type: original
author:
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
- first_name: Brian R.
  full_name: Hunt, Brian R.
  last_name: Hunt
citation:
  ama: Kaloshin V, Hunt BR. A stretched exponential bound on the rate of growth of
    the number of periodic points for prevalent diffeomorphisms II. <i>Electronic
    Research Announcements of the American Mathematical Society</i>. 2001;7(5):28-36.
    doi:<a href="https://doi.org/10.1090/s1079-6762-01-00091-9">10.1090/s1079-6762-01-00091-9</a>
  apa: Kaloshin, V., &#38; Hunt, B. R. (2001). A stretched exponential bound on the
    rate of growth of the number of periodic points for prevalent diffeomorphisms
    II. <i>Electronic Research Announcements of the American Mathematical Society</i>.
    American Mathematical Society. <a href="https://doi.org/10.1090/s1079-6762-01-00091-9">https://doi.org/10.1090/s1079-6762-01-00091-9</a>
  chicago: Kaloshin, Vadim, and Brian R. Hunt. “A Stretched Exponential Bound on the
    Rate of Growth of the Number of Periodic Points for Prevalent Diffeomorphisms
    II.” <i>Electronic Research Announcements of the American Mathematical Society</i>.
    American Mathematical Society, 2001. <a href="https://doi.org/10.1090/s1079-6762-01-00091-9">https://doi.org/10.1090/s1079-6762-01-00091-9</a>.
  ieee: V. Kaloshin and B. R. Hunt, “A stretched exponential bound on the rate of
    growth of the number of periodic points for prevalent diffeomorphisms II,” <i>Electronic
    Research Announcements of the American Mathematical Society</i>, vol. 7, no. 5.
    American Mathematical Society, pp. 28–36, 2001.
  ista: Kaloshin V, Hunt BR. 2001. A stretched exponential bound on the rate of growth
    of the number of periodic points for prevalent diffeomorphisms II. Electronic
    Research Announcements of the American Mathematical Society. 7(5), 28–36.
  mla: Kaloshin, Vadim, and Brian R. Hunt. “A Stretched Exponential Bound on the Rate
    of Growth of the Number of Periodic Points for Prevalent Diffeomorphisms II.”
    <i>Electronic Research Announcements of the American Mathematical Society</i>,
    vol. 7, no. 5, American Mathematical Society, 2001, pp. 28–36, doi:<a href="https://doi.org/10.1090/s1079-6762-01-00091-9">10.1090/s1079-6762-01-00091-9</a>.
  short: V. Kaloshin, B.R. Hunt, Electronic Research Announcements of the American
    Mathematical Society 7 (2001) 28–36.
date_created: 2020-09-18T10:49:43Z
date_published: 2001-04-24T00:00:00Z
date_updated: 2021-01-12T08:19:51Z
day: '24'
doi: 10.1090/s1079-6762-01-00091-9
extern: '1'
intvolume: '         7'
issue: '5'
keyword:
- General Mathematics
language:
- iso: eng
month: '04'
oa_version: None
page: 28-36
publication: Electronic Research Announcements of the American Mathematical Society
publication_identifier:
  issn:
  - 1079-6762
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
status: public
title: A stretched exponential bound on the rate of growth of the number of periodic
  points for prevalent diffeomorphisms II
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2001'
...
---
_id: '8522'
abstract:
- lang: eng
  text: For diffeomorphisms of smooth compact manifolds, we consider the problem of
    how fast the number of periodic points with period $n$grows as a function of $n$.
    In many familiar cases (e.g., Anosov systems) the growth is exponential, but arbitrarily
    fast growth is possible; in fact, the first author has shown that arbitrarily
    fast growth is topologically (Baire) generic for $C^2$ or smoother diffeomorphisms.
    In the present work we show that, by contrast, for a measure-theoretic notion
    of genericity we call ``prevalence'', the growth is not much faster than exponential.
    Specifically, we show that for each $\delta > 0$, there is a prevalent set of
    ( $C^{1+\rho}$ or smoother) diffeomorphisms for which the number of period $n$
    points is bounded above by $\operatorname{exp}(C n^{1+\delta})$ for some $C$ independent
    of $n$. We also obtain a related bound on the decay of the hyperbolicity of the
    periodic points as a function of $n$. The contrast between topologically generic
    and measure-theoretically generic behavior for the growth of the number of periodic
    points and the decay of their hyperbolicity shows this to be a subtle and complex
    phenomenon, reminiscent of KAM theory.
article_processing_charge: No
article_type: original
author:
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
- first_name: Brian R.
  full_name: Hunt, Brian R.
  last_name: Hunt
citation:
  ama: Kaloshin V, Hunt BR. A stretched exponential bound on the rate of growth of
    the number of periodic points for prevalent diffeomorphisms I. <i>Electronic Research
    Announcements of the American Mathematical Society</i>. 2001;7(4):17-27. doi:<a
    href="https://doi.org/10.1090/s1079-6762-01-00090-7">10.1090/s1079-6762-01-00090-7</a>
  apa: Kaloshin, V., &#38; Hunt, B. R. (2001). A stretched exponential bound on the
    rate of growth of the number of periodic points for prevalent diffeomorphisms
    I. <i>Electronic Research Announcements of the American Mathematical Society</i>.
    American Mathematical Society. <a href="https://doi.org/10.1090/s1079-6762-01-00090-7">https://doi.org/10.1090/s1079-6762-01-00090-7</a>
  chicago: Kaloshin, Vadim, and Brian R. Hunt. “A Stretched Exponential Bound on the
    Rate of Growth of the Number of Periodic Points for Prevalent Diffeomorphisms
    I.” <i>Electronic Research Announcements of the American Mathematical Society</i>.
    American Mathematical Society, 2001. <a href="https://doi.org/10.1090/s1079-6762-01-00090-7">https://doi.org/10.1090/s1079-6762-01-00090-7</a>.
  ieee: V. Kaloshin and B. R. Hunt, “A stretched exponential bound on the rate of
    growth of the number of periodic points for prevalent diffeomorphisms I,” <i>Electronic
    Research Announcements of the American Mathematical Society</i>, vol. 7, no. 4.
    American Mathematical Society, pp. 17–27, 2001.
  ista: Kaloshin V, Hunt BR. 2001. A stretched exponential bound on the rate of growth
    of the number of periodic points for prevalent diffeomorphisms I. Electronic Research
    Announcements of the American Mathematical Society. 7(4), 17–27.
  mla: Kaloshin, Vadim, and Brian R. Hunt. “A Stretched Exponential Bound on the Rate
    of Growth of the Number of Periodic Points for Prevalent Diffeomorphisms I.” <i>Electronic
    Research Announcements of the American Mathematical Society</i>, vol. 7, no. 4,
    American Mathematical Society, 2001, pp. 17–27, doi:<a href="https://doi.org/10.1090/s1079-6762-01-00090-7">10.1090/s1079-6762-01-00090-7</a>.
  short: V. Kaloshin, B.R. Hunt, Electronic Research Announcements of the American
    Mathematical Society 7 (2001) 17–27.
date_created: 2020-09-18T10:49:56Z
date_published: 2001-04-18T00:00:00Z
date_updated: 2021-01-12T08:19:51Z
day: '18'
doi: 10.1090/s1079-6762-01-00090-7
extern: '1'
intvolume: '         7'
issue: '4'
keyword:
- General Mathematics
language:
- iso: eng
month: '04'
oa_version: None
page: 17-27
publication: Electronic Research Announcements of the American Mathematical Society
publication_identifier:
  issn:
  - 1079-6762
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
status: public
title: A stretched exponential bound on the rate of growth of the number of periodic
  points for prevalent diffeomorphisms I
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2001'
...
---
_id: '8524'
abstract:
- lang: eng
  text: 'A number α∈R is diophantine if it is not well approximable by rationals,
    i.e. for some C,ε>0 and any relatively prime p,q∈Z we have |αq−p|>Cq−1−ε. It is
    well-known and is easy to prove that almost every α in R is diophantine. In this
    paper we address a noncommutative version of the diophantine properties. Consider
    a pair A,B∈SO(3) and for each n∈Z+ take all possible words in A, A -1, B, and
    B - 1 of length n, i.e. for a multiindex I=(i1,i1,…,im,jm) define |I|=∑mk=1(|ik|+|jk|)=n
    and \( W_n(A,B ) = \{W_{\cal I}(A,B) = A^{i_1} B^{j_1} \dots A^{i_m} B^{j_m}\}_{|{\cal
    I|}=n \).¶Gamburd—Jakobson—Sarnak [GJS] raised the problem: prove that for Haar
    almost every pair A,B∈SO(3) the closest distance of words of length n to the identity,
    i.e. sA,B(n)=min|I|=n∥WI(A,B)−E∥, is bounded from below by an exponential function
    in n. This is the analog of the diophantine property for elements of SO(3). In
    this paper we prove that s A,B (n) is bounded from below by an exponential function
    in n 2. We also exhibit obstructions to a “simple” proof of the exponential estimate
    in n.'
article_processing_charge: No
article_type: original
author:
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
- first_name: I.
  full_name: Rodnianski, I.
  last_name: Rodnianski
citation:
  ama: Kaloshin V, Rodnianski I. Diophantine properties of elements of SO(3). <i>Geometric
    And Functional Analysis</i>. 2001;11(5):953-970. doi:<a href="https://doi.org/10.1007/s00039-001-8222-8">10.1007/s00039-001-8222-8</a>
  apa: Kaloshin, V., &#38; Rodnianski, I. (2001). Diophantine properties of elements
    of SO(3). <i>Geometric And Functional Analysis</i>. Springer Nature. <a href="https://doi.org/10.1007/s00039-001-8222-8">https://doi.org/10.1007/s00039-001-8222-8</a>
  chicago: Kaloshin, Vadim, and I. Rodnianski. “Diophantine Properties of Elements
    of SO(3).” <i>Geometric And Functional Analysis</i>. Springer Nature, 2001. <a
    href="https://doi.org/10.1007/s00039-001-8222-8">https://doi.org/10.1007/s00039-001-8222-8</a>.
  ieee: V. Kaloshin and I. Rodnianski, “Diophantine properties of elements of SO(3),”
    <i>Geometric And Functional Analysis</i>, vol. 11, no. 5. Springer Nature, pp.
    953–970, 2001.
  ista: Kaloshin V, Rodnianski I. 2001. Diophantine properties of elements of SO(3).
    Geometric And Functional Analysis. 11(5), 953–970.
  mla: Kaloshin, Vadim, and I. Rodnianski. “Diophantine Properties of Elements of
    SO(3).” <i>Geometric And Functional Analysis</i>, vol. 11, no. 5, Springer Nature,
    2001, pp. 953–70, doi:<a href="https://doi.org/10.1007/s00039-001-8222-8">10.1007/s00039-001-8222-8</a>.
  short: V. Kaloshin, I. Rodnianski, Geometric And Functional Analysis 11 (2001) 953–970.
date_created: 2020-09-18T10:50:11Z
date_published: 2001-12-01T00:00:00Z
date_updated: 2021-01-12T08:19:52Z
day: '01'
doi: 10.1007/s00039-001-8222-8
extern: '1'
intvolume: '        11'
issue: '5'
language:
- iso: eng
month: '12'
oa_version: None
page: 953-970
publication: Geometric And Functional Analysis
publication_identifier:
  issn:
  - 1016-443X
  - 1420-8970
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: Diophantine properties of elements of SO(3)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 11
year: '2001'
...
---
_id: '855'
abstract:
- lang: eng
  text: 'Motivation: The context of the start codon (typically, AUG) and the features
    of the 5′ Untranslated Regions (5′ UTRs) are important for understanding translation
    regulation in eukaryotic mRNAs and for accurate prediction of the coding region
    in genomic and cDNA sequences. The presence of AUG triplets in 5′ UTRs (upstream
    AUGs) might effect the initiation rate and, in the context of gene prediction,
    could reduce the accuracy of the identification of the authentic start. To reveal
    potential connections between the presence of upstream AUGs and other features
    of 5′ UTRs, such as their length and the start codon context, we undertook a systematic
    analysis of the available eukaryotic 5′ UTR sequences. Results: We show that a
    large fraction of 5′ UTRs in the available cDNA sequences, 15-53% depending on
    the organism, contain upstream ATGs. A negative correlation was observed between
    the information content of the translation start signal and the length of the
    5′ UTR. Similarly, a negative correlation exists between the ''strength'' of the
    start context and the number of upstream ATGs. Typically, cDNAs containing long
    5′ UTRs with multiple upstream ATGs have a ''weak'' start context, and in contrast,
    cDNAs containing short 5′ UTRs without ATGs have ''strong'' starts. These counter-intuitive
    results may be interpreted in terms of upstream AUGs having an important role
    in the regulation of translation efficiency by ensuring low basal translation
    level via double negative control and creating the potential for additional regulatory
    mechanisms. One of such mechanisms, supported by experimental studies of some
    mRNAs, includes removal of the AUG-containing portion of the 5′ UTR by alternative
    splicing.'
acknowledgement: This work has been partially supported by EU 'TRADAT' project and
  by CNR Genetic Engineering (Italy), the RFBR grant for support of scientific schools
  (00-15-97968) and SD RAS grant for young scientists (AVK). The authors wish to thank
  J.Lyons-Weiler for helpful comments and A. Sorokin for help with the ATG_EVALUATOR
  program.
article_processing_charge: No
article_type: original
author:
- first_name: Igor
  full_name: Rogozin, Igor
  last_name: Rogozin
- first_name: Alex
  full_name: Kochetov, Alex
  last_name: Kochetov
- first_name: Fyodor
  full_name: Kondrashov, Fyodor
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Eugene
  full_name: Koonin, Eugene
  last_name: Koonin
- first_name: Luciano
  full_name: Milanesi, Luciano
  last_name: Milanesi
citation:
  ama: Rogozin I, Kochetov A, Kondrashov F, Koonin E, Milanesi L. Presence of ATG
    triplets in 5′ untranslated regions of eukaryotic cDNAs correlates with a ’weak’context
    of the start codon. <i>Bioinformatics</i>. 2001;17(10):890-900. doi:<a href="https://doi.org/10.1093/bioinformatics/17.10.890">10.1093/bioinformatics/17.10.890</a>
  apa: Rogozin, I., Kochetov, A., Kondrashov, F., Koonin, E., &#38; Milanesi, L. (2001).
    Presence of ATG triplets in 5′ untranslated regions of eukaryotic cDNAs correlates
    with a ’weak’context of the start codon. <i>Bioinformatics</i>. Oxford University
    Press. <a href="https://doi.org/10.1093/bioinformatics/17.10.890">https://doi.org/10.1093/bioinformatics/17.10.890</a>
  chicago: Rogozin, Igor, Alex Kochetov, Fyodor Kondrashov, Eugene Koonin, and Luciano
    Milanesi. “Presence of ATG Triplets in 5′ Untranslated Regions of Eukaryotic CDNAs
    Correlates with a ’weak’context of the Start Codon.” <i>Bioinformatics</i>. Oxford
    University Press, 2001. <a href="https://doi.org/10.1093/bioinformatics/17.10.890">https://doi.org/10.1093/bioinformatics/17.10.890</a>.
  ieee: I. Rogozin, A. Kochetov, F. Kondrashov, E. Koonin, and L. Milanesi, “Presence
    of ATG triplets in 5′ untranslated regions of eukaryotic cDNAs correlates with
    a ’weak’context of the start codon,” <i>Bioinformatics</i>, vol. 17, no. 10. Oxford
    University Press, pp. 890–900, 2001.
  ista: Rogozin I, Kochetov A, Kondrashov F, Koonin E, Milanesi L. 2001. Presence
    of ATG triplets in 5′ untranslated regions of eukaryotic cDNAs correlates with
    a ’weak’context of the start codon. Bioinformatics. 17(10), 890–900.
  mla: Rogozin, Igor, et al. “Presence of ATG Triplets in 5′ Untranslated Regions
    of Eukaryotic CDNAs Correlates with a ’weak’context of the Start Codon.” <i>Bioinformatics</i>,
    vol. 17, no. 10, Oxford University Press, 2001, pp. 890–900, doi:<a href="https://doi.org/10.1093/bioinformatics/17.10.890">10.1093/bioinformatics/17.10.890</a>.
  short: I. Rogozin, A. Kochetov, F. Kondrashov, E. Koonin, L. Milanesi, Bioinformatics
    17 (2001) 890–900.
date_created: 2018-12-11T11:48:52Z
date_published: 2001-10-01T00:00:00Z
date_updated: 2023-06-02T09:08:25Z
day: '01'
doi: 10.1093/bioinformatics/17.10.890
extern: '1'
external_id:
  pmid:
  - '11673233'
intvolume: '        17'
issue: '10'
language:
- iso: eng
month: '10'
oa_version: None
page: 890 - 900
pmid: 1
publication: Bioinformatics
publication_identifier:
  issn:
  - 1367-4803
publication_status: published
publisher: Oxford University Press
publist_id: '6795'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Presence of ATG triplets in 5′ untranslated regions of eukaryotic cDNAs correlates
  with a 'weak'context of the start codon
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 17
year: '2001'
...
---
_id: '867'
abstract:
- lang: eng
  text: Genes with new functions often evolve by gene duplication. Alternative splicing
    is another means of evolutionary innovation in eukaryotes, which allows a single
    gene to encode functionally diverse proteins. We investigate a connection between
    these two evolutionary phenomena. For ∼10% of the described cases of substitution
    alternative splicing, such that either one or another amino acid sequence is included
    into the protein, evidence of origin by tandem exon duplication was found. This
    is a conservative estimate because alternative exons are typically short and,
    on many occasions, duplicates may have diverged beyond recognition. Dating exon
    duplications through a combination of the available experimental data on alternative
    splicing in orthologous genes from different species and computational analysis
    indicates that most of the duplications antedate at least the radiation of mammalian
    orders or even the radiation of vertebrate classes. At present, tandem exon duplication
    is the only mechanism of evolution of substitution alternative splicing that can
    be specifically demonstrated. Along with gene duplication, this could be a major
    route for generating functional diversity during evolution of multicellular eukaryotes.
article_processing_charge: No
article_type: original
author:
- first_name: Fyodor
  full_name: Kondrashov, Fyodor
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Eugene
  full_name: Koonin, Eugene
  last_name: Koonin
citation:
  ama: Kondrashov F, Koonin E. Origin of alternative splicing by tandem exon duplication.
    <i>Human Molecular Genetics</i>. 2001;10(23):2661-2669. doi:<a href="https://doi.org/10.1093/hmg/10.23.2661">10.1093/hmg/10.23.2661</a>
  apa: Kondrashov, F., &#38; Koonin, E. (2001). Origin of alternative splicing by
    tandem exon duplication. <i>Human Molecular Genetics</i>. Oxford University Press.
    <a href="https://doi.org/10.1093/hmg/10.23.2661">https://doi.org/10.1093/hmg/10.23.2661</a>
  chicago: Kondrashov, Fyodor, and Eugene Koonin. “Origin of Alternative Splicing
    by Tandem Exon Duplication.” <i>Human Molecular Genetics</i>. Oxford University
    Press, 2001. <a href="https://doi.org/10.1093/hmg/10.23.2661">https://doi.org/10.1093/hmg/10.23.2661</a>.
  ieee: F. Kondrashov and E. Koonin, “Origin of alternative splicing by tandem exon
    duplication,” <i>Human Molecular Genetics</i>, vol. 10, no. 23. Oxford University
    Press, pp. 2661–2669, 2001.
  ista: Kondrashov F, Koonin E. 2001. Origin of alternative splicing by tandem exon
    duplication. Human Molecular Genetics. 10(23), 2661–2669.
  mla: Kondrashov, Fyodor, and Eugene Koonin. “Origin of Alternative Splicing by Tandem
    Exon Duplication.” <i>Human Molecular Genetics</i>, vol. 10, no. 23, Oxford University
    Press, 2001, pp. 2661–69, doi:<a href="https://doi.org/10.1093/hmg/10.23.2661">10.1093/hmg/10.23.2661</a>.
  short: F. Kondrashov, E. Koonin, Human Molecular Genetics 10 (2001) 2661–2669.
date_created: 2018-12-11T11:48:55Z
date_published: 2001-11-01T00:00:00Z
date_updated: 2023-06-02T08:39:47Z
day: '01'
doi: 10.1093/hmg/10.23.2661
extern: '1'
external_id:
  pmid:
  - '11726553'
intvolume: '        10'
issue: '23'
language:
- iso: eng
month: '11'
oa_version: Published Version
page: 2661 - 2669
pmid: 1
publication: Human Molecular Genetics
publication_identifier:
  issn:
  - 0964-6906
publication_status: published
publisher: Oxford University Press
publist_id: '6777'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Origin of alternative splicing by tandem exon duplication
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 10
year: '2001'
...
---
_id: '874'
abstract:
- lang: eng
  text: Sex is thought to facilitate accumulation of initially rare beneficial mutations
    by allowing simultaneous allele replacements at many loci. However, this advantage
    of sex depends on a restrictive assumption that the fitness of a genotype is determined
    by fitness potential, a single intermediate variable to which all loci contribute
    additively, so that new alleles can accumulate in any order. Individual-based
    simulations of sexual and asexual populations reveal that under generic selection,
    sex often retards adaptive evolution. When new alleles are beneficial only if
    they accumulate in a prescribed order, a sexual population may evolve two or more
    times slower than an asexual population because only asexual reproduction allows
    some overlap of successive allele replacements. Many other fitness surfaces lead
    to an even greater disadvantage of sex. Thus, either sex exists in spite of its
    impact on the rate of adaptive allele replacements, or natural fitness surfaces
    have rather specific properties, at least at the scale of intrapopulation genetic
    variability.
article_processing_charge: No
article_type: original
author:
- first_name: Fyodor
  full_name: Kondrashov, Fyodor
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Alexey
  full_name: Kondrashov, Alexey
  last_name: Kondrashov
citation:
  ama: Kondrashov F, Kondrashov A. Multidimensional epistasis and the disadvantage
    of sex. <i>PNAS</i>. 2001;98(21):12089-12092. doi:<a href="https://doi.org/10.1073/pnas.211214298">10.1073/pnas.211214298</a>
  apa: Kondrashov, F., &#38; Kondrashov, A. (2001). Multidimensional epistasis and
    the disadvantage of sex. <i>PNAS</i>. National Academy of Sciences. <a href="https://doi.org/10.1073/pnas.211214298">https://doi.org/10.1073/pnas.211214298</a>
  chicago: Kondrashov, Fyodor, and Alexey Kondrashov. “Multidimensional Epistasis
    and the Disadvantage of Sex.” <i>PNAS</i>. National Academy of Sciences, 2001.
    <a href="https://doi.org/10.1073/pnas.211214298">https://doi.org/10.1073/pnas.211214298</a>.
  ieee: F. Kondrashov and A. Kondrashov, “Multidimensional epistasis and the disadvantage
    of sex,” <i>PNAS</i>, vol. 98, no. 21. National Academy of Sciences, pp. 12089–12092,
    2001.
  ista: Kondrashov F, Kondrashov A. 2001. Multidimensional epistasis and the disadvantage
    of sex. PNAS. 98(21), 12089–12092.
  mla: Kondrashov, Fyodor, and Alexey Kondrashov. “Multidimensional Epistasis and
    the Disadvantage of Sex.” <i>PNAS</i>, vol. 98, no. 21, National Academy of Sciences,
    2001, pp. 12089–92, doi:<a href="https://doi.org/10.1073/pnas.211214298">10.1073/pnas.211214298</a>.
  short: F. Kondrashov, A. Kondrashov, PNAS 98 (2001) 12089–12092.
date_created: 2018-12-11T11:48:58Z
date_published: 2001-10-09T00:00:00Z
date_updated: 2023-06-02T08:18:22Z
day: '09'
doi: 10.1073/pnas.211214298
extern: '1'
external_id:
  pmid:
  - '11593020'
intvolume: '        98'
issue: '21'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC59772/
month: '10'
oa: 1
oa_version: Published Version
page: 12089 - 12092
pmid: 1
publication: PNAS
publication_identifier:
  issn:
  - 0027-8424
publication_status: published
publisher: National Academy of Sciences
publist_id: '6774'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Multidimensional epistasis and the disadvantage of sex
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 98
year: '2001'
...
---
_id: '888'
abstract:
- lang: eng
  text: 'BACKGROUND: Detection of changes in a protein''s evolutionary rate may reveal
    cases of change in that protein''s function. We developed and implemented a simple
    relative rates test in an attempt to assess the rate constancy of protein evolution
    and to detect cases of functional diversification between orthologous proteins.
    The test was performed on clusters of orthologous protein sequences from complete
    bacterial genomes (Chlamydia trachomatis, C. muridarum and Chlamydophila pneumoniae),
    complete archaeal genomes (Pyrococcus horikoshii, P. abyssi and P. furiosus) and
    partially sequenced mammalian genomes (human, mouse and rat). RESULTS: Amino-acid
    sequence evolution rates are significantly correlated on different branches of
    phylogenetic trees representing the great majority of analyzed orthologous protein
    sets from all three domains of life. However, approximately 1% of the proteins
    from each group of species deviates from this pattern and instead shows variation
    that is consistent with an acceleration of the rate of amino-acid substitution,
    which may be due to functional diversification. Most of the putative functionally
    diversified proteins from all three species groups are predicted to function at
    the periphery of the cells and mediate their interaction with the environment.
    CONCLUSIONS: Relative rates of protein evolution are remarkably constant for the
    three species groups analyzed here. Deviations from this rate constancy are probably
    due to changes in selective constraints associated with diversification between
    orthologs. Functional diversification between orthologs is thought to be a relatively
    rare event. However, the resolution afforded by the test designed specifically
    for genomic-scale datasets allowed us to identify numerous cases of possible functional
    diversification between orthologous proteins.'
acknowledgement: We thank Alexey Kondrashov for many helpful discussions and constructive
  criticisms, Charles DeLisi, David Landsman, Detlef Leipe, Wojciech Makalowski and
  Itai Yanai for critical reading of the manuscript and constructive comments and
  L. Aravind for advice on protein function prediction. The release of the unpublished
  P. furiosus genome sequence by the Utah Genome Center at the University of Utah
  is acknowledged and appreciated.
article_number: research0053.1
article_processing_charge: No
article_type: original
author:
- first_name: Ingo
  full_name: Jordan, Ingo
  last_name: Jordan
- first_name: Fyodor
  full_name: Kondrashov, Fyodor
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Igor
  full_name: Rogozin, Igor
  last_name: Rogozin
- first_name: Roman
  full_name: Tatusov, Roman
  last_name: Tatusov
- first_name: Yuri
  full_name: Wolf, Yuri
  last_name: Wolf
- first_name: Eugene
  full_name: Koonin, Eugene
  last_name: Koonin
citation:
  ama: Jordan I, Kondrashov F, Rogozin I, Tatusov R, Wolf Y, Koonin E. Constant relative
    rate of protein evolution and detection of functional diversification among bacterial,
    archaeal and eukaryotic proteins . <i>Genome Biology</i>. 2001;2(12). doi:<a href="https://doi.org/10.1186/gb-2001-2-12-research0053">10.1186/gb-2001-2-12-research0053</a>
  apa: Jordan, I., Kondrashov, F., Rogozin, I., Tatusov, R., Wolf, Y., &#38; Koonin,
    E. (2001). Constant relative rate of protein evolution and detection of functional
    diversification among bacterial, archaeal and eukaryotic proteins . <i>Genome
    Biology</i>. BioMed Central. <a href="https://doi.org/10.1186/gb-2001-2-12-research0053">https://doi.org/10.1186/gb-2001-2-12-research0053</a>
  chicago: Jordan, Ingo, Fyodor Kondrashov, Igor Rogozin, Roman Tatusov, Yuri Wolf,
    and Eugene Koonin. “Constant Relative Rate of Protein Evolution and Detection
    of Functional Diversification among Bacterial, Archaeal and Eukaryotic Proteins
    .” <i>Genome Biology</i>. BioMed Central, 2001. <a href="https://doi.org/10.1186/gb-2001-2-12-research0053">https://doi.org/10.1186/gb-2001-2-12-research0053</a>.
  ieee: I. Jordan, F. Kondrashov, I. Rogozin, R. Tatusov, Y. Wolf, and E. Koonin,
    “Constant relative rate of protein evolution and detection of functional diversification
    among bacterial, archaeal and eukaryotic proteins ,” <i>Genome Biology</i>, vol.
    2, no. 12. BioMed Central, 2001.
  ista: Jordan I, Kondrashov F, Rogozin I, Tatusov R, Wolf Y, Koonin E. 2001. Constant
    relative rate of protein evolution and detection of functional diversification
    among bacterial, archaeal and eukaryotic proteins . Genome Biology. 2(12), research0053.1.
  mla: Jordan, Ingo, et al. “Constant Relative Rate of Protein Evolution and Detection
    of Functional Diversification among Bacterial, Archaeal and Eukaryotic Proteins
    .” <i>Genome Biology</i>, vol. 2, no. 12, research0053.1, BioMed Central, 2001,
    doi:<a href="https://doi.org/10.1186/gb-2001-2-12-research0053">10.1186/gb-2001-2-12-research0053</a>.
  short: I. Jordan, F. Kondrashov, I. Rogozin, R. Tatusov, Y. Wolf, E. Koonin, Genome
    Biology 2 (2001).
date_created: 2018-12-11T11:49:02Z
date_published: 2001-01-01T00:00:00Z
date_updated: 2023-05-31T12:15:37Z
day: '01'
doi: 10.1186/gb-2001-2-12-research0053
extern: '1'
external_id:
  pmid:
  - '11790256'
intvolume: '         2'
issue: '12'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC64838/
month: '01'
oa: 1
oa_version: Published Version
pmid: 1
publication: Genome Biology
publication_identifier:
  issn:
  - 1465-6906
publication_status: published
publisher: BioMed Central
publist_id: '6758'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Constant relative rate of protein evolution and detection of functional diversification
  among bacterial, archaeal and eukaryotic proteins '
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 2
year: '2001'
...
---
_id: '1452'
abstract:
- lang: eng
  text: 'In this Note we present pairs of hyperkähler orbifolds which satisfy two
    different versions of mirror symmetry. On the one hand, we show that their Hodge
    numbers (or more precisely, stringy E-polynomials) are equal. On the other hand,
    we show that they satisfy the prescription of Strominger, Yau, and Zaslow (which
    in the present case goes back to Bershadsky, Johansen, Sadov and Vafa): that a
    Calabi-Yau and its mirror should fiber over the same real manifold, with special
    Lagrangian fibers which are tori dual to each other. Our examples arise as moduli
    spaces of local systems on a curve with structure group SL(n); the mirror is the
    corresponding space with structure group PGL(n). The special Lagrangian tori come
    from an algebraically completely integrable Hamiltonian system: the Hitchin system.'
acknowledgement: The authors are grateful for Nigel Hitchin for suggesting the similarity
  between [4] and [12] in 1996 and for Pierre Deligne for numerous useful comments
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Tamas
  full_name: Hausel, Tamas
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
- first_name: Michael
  full_name: Thaddeus, Michael
  last_name: Thaddeus
citation:
  ama: 'Hausel T, Thaddeus M. Examples of mirror partners arising from integrable
    systems. <i>Comptes Rendus de l’Academie des Sciences - Series I: Mathematics</i>.
    2001;333(4):313-318. doi:<a href="https://doi.org/10.1016/S0764-4442(01)02057-2">10.1016/S0764-4442(01)02057-2</a>'
  apa: 'Hausel, T., &#38; Thaddeus, M. (2001). Examples of mirror partners arising
    from integrable systems. <i>Comptes Rendus de l’Academie Des Sciences - Series
    I: Mathematics</i>. Elsevier. <a href="https://doi.org/10.1016/S0764-4442(01)02057-2">https://doi.org/10.1016/S0764-4442(01)02057-2</a>'
  chicago: 'Hausel, Tamás, and Michael Thaddeus. “Examples of Mirror Partners Arising
    from Integrable Systems.” <i>Comptes Rendus de l’Academie Des Sciences - Series
    I: Mathematics</i>. Elsevier, 2001. <a href="https://doi.org/10.1016/S0764-4442(01)02057-2">https://doi.org/10.1016/S0764-4442(01)02057-2</a>.'
  ieee: 'T. Hausel and M. Thaddeus, “Examples of mirror partners arising from integrable
    systems,” <i>Comptes Rendus de l’Academie des Sciences - Series I: Mathematics</i>,
    vol. 333, no. 4. Elsevier, pp. 313–318, 2001.'
  ista: 'Hausel T, Thaddeus M. 2001. Examples of mirror partners arising from integrable
    systems. Comptes Rendus de l’Academie des Sciences - Series I: Mathematics. 333(4),
    313–318.'
  mla: 'Hausel, Tamás, and Michael Thaddeus. “Examples of Mirror Partners Arising
    from Integrable Systems.” <i>Comptes Rendus de l’Academie Des Sciences - Series
    I: Mathematics</i>, vol. 333, no. 4, Elsevier, 2001, pp. 313–18, doi:<a href="https://doi.org/10.1016/S0764-4442(01)02057-2">10.1016/S0764-4442(01)02057-2</a>.'
  short: 'T. Hausel, M. Thaddeus, Comptes Rendus de l’Academie Des Sciences - Series
    I: Mathematics 333 (2001) 313–318.'
date_created: 2018-12-11T11:52:06Z
date_published: 2001-08-15T00:00:00Z
date_updated: 2023-05-31T09:57:48Z
day: '15'
doi: 10.1016/S0764-4442(01)02057-2
extern: '1'
external_id:
  arxiv:
  - math/0106140
intvolume: '       333'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math/0106140
month: '08'
oa: 1
oa_version: Preprint
page: 313 - 318
publication: 'Comptes Rendus de l''Academie des Sciences - Series I: Mathematics'
publication_identifier:
  issn:
  - 0764-4442
publication_status: published
publisher: Elsevier
publist_id: '5742'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Examples of mirror partners arising from integrable systems
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 333
year: '2001'
...
---
_id: '1453'
abstract:
- lang: eng
  text: In this Letter we exhibit a one-parameter family of new Taub-NUT instantons
    parameterized by a half-line. The endpoint of the half-line will be the reducible
    Yang-Mills instanton corresponding to the Eguchi-Hanson-Gibbons L2 harmonic 2-form,
    while at an inner point we recover the Pope-Yuille instanton constructed as a
    projection of the Levi-Civitá connection onto the positive su(2)+ ⊂ so(4) subalgebra.
    Our method imitates the Jackiw-Nohl-Rebbi construction originally designed for
    flat R4. That is we find a one-parameter family of harmonic functions on the Taub-NUT
    space with a point singularity, rescale the metric and project the obtained Levi-Civitá
    connection onto the other negative su(2)- ⊂ so(4) part. Our solutions will possess
    the full U(2) symmetry, and thus provide more solutions to the recently proposed
    U(2) symmetric ansatz of Kim and Yoon.
acknowledgement: We would like to acknowledge the financial support provided by the
  Miller Institute of Basic Research in Science, the Japan Society for the Promotion
  of Science, grant No. P99736 and the partial support by OTKA grant No. T032478.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Gábor
  full_name: Etesi, Gábor
  last_name: Etesi
- first_name: Tamas
  full_name: Hausel, Tamas
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
citation:
  ama: 'Etesi G, Hausel T. Geometric construction of new Yang-Mills instantons over
    Taub-NUT space. <i>Physics Letters, Section B: Nuclear, Elementary Particle and
    High-Energy Physics</i>. 2001;514(1-2):189-199. doi:<a href="https://doi.org/10.1016/S0370-2693(01)00821-8">10.1016/S0370-2693(01)00821-8</a>'
  apa: 'Etesi, G., &#38; Hausel, T. (2001). Geometric construction of new Yang-Mills
    instantons over Taub-NUT space. <i>Physics Letters, Section B: Nuclear, Elementary
    Particle and High-Energy Physics</i>. Elsevier. <a href="https://doi.org/10.1016/S0370-2693(01)00821-8">https://doi.org/10.1016/S0370-2693(01)00821-8</a>'
  chicago: 'Etesi, Gábor, and Tamás Hausel. “Geometric Construction of New Yang-Mills
    Instantons over Taub-NUT Space.” <i>Physics Letters, Section B: Nuclear, Elementary
    Particle and High-Energy Physics</i>. Elsevier, 2001. <a href="https://doi.org/10.1016/S0370-2693(01)00821-8">https://doi.org/10.1016/S0370-2693(01)00821-8</a>.'
  ieee: 'G. Etesi and T. Hausel, “Geometric construction of new Yang-Mills instantons
    over Taub-NUT space,” <i>Physics Letters, Section B: Nuclear, Elementary Particle
    and High-Energy Physics</i>, vol. 514, no. 1–2. Elsevier, pp. 189–199, 2001.'
  ista: 'Etesi G, Hausel T. 2001. Geometric construction of new Yang-Mills instantons
    over Taub-NUT space. Physics Letters, Section B: Nuclear, Elementary Particle
    and High-Energy Physics. 514(1–2), 189–199.'
  mla: 'Etesi, Gábor, and Tamás Hausel. “Geometric Construction of New Yang-Mills
    Instantons over Taub-NUT Space.” <i>Physics Letters, Section B: Nuclear, Elementary
    Particle and High-Energy Physics</i>, vol. 514, no. 1–2, Elsevier, 2001, pp. 189–99,
    doi:<a href="https://doi.org/10.1016/S0370-2693(01)00821-8">10.1016/S0370-2693(01)00821-8</a>.'
  short: 'G. Etesi, T. Hausel, Physics Letters, Section B: Nuclear, Elementary Particle
    and High-Energy Physics 514 (2001) 189–199.'
date_created: 2018-12-11T11:52:07Z
date_published: 2001-08-09T00:00:00Z
date_updated: 2023-05-31T11:51:37Z
day: '09'
doi: 10.1016/S0370-2693(01)00821-8
extern: '1'
external_id:
  arxiv:
  - hep-th/0105118
intvolume: '       514'
issue: 1-2
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/hep-th/0105118
month: '08'
oa: 1
oa_version: Preprint
page: 189 - 199
publication: 'Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy
  Physics'
publication_identifier:
  issn:
  - 0370-2693
publication_status: published
publisher: Elsevier
publist_id: '5743'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Geometric construction of new Yang-Mills instantons over Taub-NUT space
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 514
year: '2001'
...
---
_id: '1454'
abstract:
- lang: eng
  text: We address the problem of finding Abelian instantons of finite energy on the
    Euclidean Schwarzschild manifold. This amounts to construct self-dual L2 harmonic
    2-forms on the space. Gibbons found a non-topological L2 harmonic form in the
    Taub-NUT metric, leading to Abelian instantons with continuous energy. We imitate
    his construction in the case of the Euclidean Schwarzschild manifold and find
    a non-topological self-dual L2 harmonic 2-form on it. We show how this gives rise
    to Abelian instantons and identify them with SU(2)-instantons of Pontryagin number
    2n2 found by Charap and Duff in 1977. Using results of Dodziuk and Hitchin we
    also calculate the full L2 harmonic space for the Euclidean Schwarzschild manifold.
acknowledgement: The work in this paper was done when Tamás Hausel visited the Yukawa
  Institute of Kyoto University in February 2000. We are grateful for Prof. G.W. Gibbons
  for insightful discussions and Prof. H. Kodama and the Yukawa Institute for the
  invitation and hospitality.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Gábor
  full_name: Etesi, Gábor
  last_name: Etesi
- first_name: Tamas
  full_name: Hausel, Tamas
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
citation:
  ama: Etesi G, Hausel T. Geometric interpretation of Schwarzschild instantons. <i>Journal
    of Geometry and Physics</i>. 2001;37(1-2):126-136. doi:<a href="https://doi.org/10.1016/S0393-0440(00)00040-1">10.1016/S0393-0440(00)00040-1</a>
  apa: Etesi, G., &#38; Hausel, T. (2001). Geometric interpretation of Schwarzschild
    instantons. <i>Journal of Geometry and Physics</i>. Elsevier. <a href="https://doi.org/10.1016/S0393-0440(00)00040-1">https://doi.org/10.1016/S0393-0440(00)00040-1</a>
  chicago: Etesi, Gábor, and Tamás Hausel. “Geometric Interpretation of Schwarzschild
    Instantons.” <i>Journal of Geometry and Physics</i>. Elsevier, 2001. <a href="https://doi.org/10.1016/S0393-0440(00)00040-1">https://doi.org/10.1016/S0393-0440(00)00040-1</a>.
  ieee: G. Etesi and T. Hausel, “Geometric interpretation of Schwarzschild instantons,”
    <i>Journal of Geometry and Physics</i>, vol. 37, no. 1–2. Elsevier, pp. 126–136,
    2001.
  ista: Etesi G, Hausel T. 2001. Geometric interpretation of Schwarzschild instantons.
    Journal of Geometry and Physics. 37(1–2), 126–136.
  mla: Etesi, Gábor, and Tamás Hausel. “Geometric Interpretation of Schwarzschild
    Instantons.” <i>Journal of Geometry and Physics</i>, vol. 37, no. 1–2, Elsevier,
    2001, pp. 126–36, doi:<a href="https://doi.org/10.1016/S0393-0440(00)00040-1">10.1016/S0393-0440(00)00040-1</a>.
  short: G. Etesi, T. Hausel, Journal of Geometry and Physics 37 (2001) 126–136.
date_created: 2018-12-11T11:52:07Z
date_published: 2001-01-01T00:00:00Z
date_updated: 2023-05-31T12:08:45Z
day: '01'
doi: 10.1016/S0393-0440(00)00040-1
extern: '1'
external_id:
  arxiv:
  - hep-th/0003239
intvolume: '        37'
issue: 1-2
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/hep-th/0003239
month: '01'
oa: 1
oa_version: Preprint
page: 126 - 136
publication: Journal of Geometry and Physics
publication_identifier:
  issn:
  - 0393-0440
publication_status: published
publisher: Elsevier
publist_id: '5744'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Geometric interpretation of Schwarzschild instantons
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 37
year: '2001'
...
---
_id: '9444'
abstract:
- lang: eng
  text: Epigenetic silenced alleles of the Arabidopsis SUPERMANlocus (the clark kent
    alleles) are associated with dense hypermethylation at noncanonical cytosines
    (CpXpG and asymmetric sites, where X = A, T, C, or G). A genetic screen for suppressors
    of a hypermethylated clark kent mutant identified nine loss-of-function alleles
    of CHROMOMETHYLASE3(CMT3), a novel cytosine methyltransferase homolog. These cmt3
    mutants display a wild-type morphology but exhibit decreased CpXpG methylation
    of the SUP gene and of other sequences throughout the genome. They also show reactivated
    expression of endogenous retrotransposon sequences. These results show that a
    non-CpG DNA methyltransferase is responsible for maintaining epigenetic gene silencing.
article_processing_charge: No
article_type: original
author:
- first_name: A. M.
  full_name: Lindroth, A. M.
  last_name: Lindroth
- first_name: Xiaofeng
  full_name: Cao, Xiaofeng
  last_name: Cao
- first_name: James P.
  full_name: Jackson, James P.
  last_name: Jackson
- first_name: Daniel
  full_name: Zilberman, Daniel
  id: 6973db13-dd5f-11ea-814e-b3e5455e9ed1
  last_name: Zilberman
  orcid: 0000-0002-0123-8649
- first_name: Claire M.
  full_name: McCallum, Claire M.
  last_name: McCallum
- first_name: Steven
  full_name: Henikoff, Steven
  last_name: Henikoff
- first_name: Steven E.
  full_name: Jacobsen, Steven E.
  last_name: Jacobsen
citation:
  ama: Lindroth AM, Cao X, Jackson JP, et al. Requirement of CHROMOMETHYLASE3 for
    maintenance of CpXpG methylation. <i>Science</i>. 2001;292(5524):2077-2080. doi:<a
    href="https://doi.org/10.1126/science.1059745">10.1126/science.1059745</a>
  apa: Lindroth, A. M., Cao, X., Jackson, J. P., Zilberman, D., McCallum, C. M., Henikoff,
    S., &#38; Jacobsen, S. E. (2001). Requirement of CHROMOMETHYLASE3 for maintenance
    of CpXpG methylation. <i>Science</i>. American Association for the Advancement
    of Science. <a href="https://doi.org/10.1126/science.1059745">https://doi.org/10.1126/science.1059745</a>
  chicago: Lindroth, A. M., Xiaofeng Cao, James P. Jackson, Daniel Zilberman, Claire
    M. McCallum, Steven Henikoff, and Steven E. Jacobsen. “Requirement of CHROMOMETHYLASE3
    for Maintenance of CpXpG Methylation.” <i>Science</i>. American Association for
    the Advancement of Science, 2001. <a href="https://doi.org/10.1126/science.1059745">https://doi.org/10.1126/science.1059745</a>.
  ieee: A. M. Lindroth <i>et al.</i>, “Requirement of CHROMOMETHYLASE3 for maintenance
    of CpXpG methylation,” <i>Science</i>, vol. 292, no. 5524. American Association
    for the Advancement of Science, pp. 2077–2080, 2001.
  ista: Lindroth AM, Cao X, Jackson JP, Zilberman D, McCallum CM, Henikoff S, Jacobsen
    SE. 2001. Requirement of CHROMOMETHYLASE3 for maintenance of CpXpG methylation.
    Science. 292(5524), 2077–2080.
  mla: Lindroth, A. M., et al. “Requirement of CHROMOMETHYLASE3 for Maintenance of
    CpXpG Methylation.” <i>Science</i>, vol. 292, no. 5524, American Association for
    the Advancement of Science, 2001, pp. 2077–80, doi:<a href="https://doi.org/10.1126/science.1059745">10.1126/science.1059745</a>.
  short: A.M. Lindroth, X. Cao, J.P. Jackson, D. Zilberman, C.M. McCallum, S. Henikoff,
    S.E. Jacobsen, Science 292 (2001) 2077–2080.
date_created: 2021-06-02T13:35:16Z
date_published: 2001-06-15T00:00:00Z
date_updated: 2021-12-14T08:40:32Z
day: '15'
department:
- _id: DaZi
doi: 10.1126/science.1059745
extern: '1'
external_id:
  pmid:
  - '11349138'
intvolume: '       292'
issue: '5524'
keyword:
- Multidisciplinary
language:
- iso: eng
month: '06'
oa_version: None
page: 2077-2080
pmid: 1
publication: Science
publication_identifier:
  eissn:
  - 1095-9203
  issn:
  - 0036-8075
publication_status: published
publisher: American Association for the Advancement of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: Requirement of CHROMOMETHYLASE3 for maintenance of CpXpG methylation
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 292
year: '2001'
...
